TSTP Solution File: LCL239-10 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : LCL239-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 10:20:55 EDT 2022
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL239-10 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 4 15:14:08 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.38 # No SInE strategy applied
% 0.13/0.38 # Auto-Mode selected heuristic G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN
% 0.13/0.38 # and selection function PSelectComplexExceptUniqMaxHorn.
% 0.13/0.38 #
% 0.13/0.38 # Number of axioms: 9 Number of unprocessed: 9
% 0.13/0.38 # Tableaux proof search.
% 0.13/0.38 # APR header successfully linked.
% 0.13/0.38 # Hello from C++
% 0.13/0.38 # The folding up rule is enabled...
% 0.13/0.38 # Local unification is enabled...
% 0.13/0.38 # Any saturation attempts will use folding labels...
% 0.13/0.38 # 9 beginning clauses after preprocessing and clausification
% 0.13/0.38 # Creating start rules for all 1 conjectures.
% 0.13/0.38 # There are 1 start rule candidates:
% 0.13/0.38 # Found 9 unit axioms.
% 0.13/0.38 # 1 start rule tableaux created.
% 0.13/0.38 # 0 extension rule candidate clauses
% 0.13/0.38 # 9 unit axiom clauses
% 0.13/0.38
% 0.13/0.38 # Requested 8, 32 cores available to the main process.
% 0.13/0.38 # There are not enough tableaux to fork, creating more from the initial 1
% 0.13/0.38 # Creating equality axioms
% 0.13/0.38 # Ran out of tableaux, making start rules for all clauses
% 0.13/0.38 # Returning from population with 20 new_tableaux and 0 remaining starting tableaux.
% 0.13/0.38 # We now have 20 tableaux to operate on
% 0.13/0.39 # There were 1 total branch saturation attempts.
% 0.13/0.39 # There were 0 of these attempts blocked.
% 0.13/0.39 # There were 0 deferred branch saturation attempts.
% 0.13/0.39 # There were 0 free duplicated saturations.
% 0.13/0.39 # There were 1 total successful branch saturations.
% 0.13/0.39 # There were 0 successful branch saturations in interreduction.
% 0.13/0.39 # There were 0 successful branch saturations on the branch.
% 0.13/0.39 # There were 1 successful branch saturations after the branch.
% 0.13/0.39 # There were 1 total branch saturation attempts.
% 0.13/0.39 # There were 0 of these attempts blocked.
% 0.13/0.39 # There were 0 deferred branch saturation attempts.
% 0.13/0.39 # There were 0 free duplicated saturations.
% 0.13/0.39 # There were 1 total successful branch saturations.
% 0.13/0.39 # There were 0 successful branch saturations in interreduction.
% 0.13/0.39 # There were 0 successful branch saturations on the branch.
% 0.13/0.39 # There were 1 successful branch saturations after the branch.
% 0.13/0.39 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39 # Begin clausification derivation
% 0.13/0.39
% 0.13/0.39 # End clausification derivation
% 0.13/0.39 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.39 cnf(i_0_14, plain, (axiom(or(not(X1),or(X2,X1)))=true)).
% 0.13/0.39 cnf(i_0_13, plain, (axiom(or(not(or(X1,X1)),X1))=true)).
% 0.13/0.39 cnf(i_0_15, plain, (axiom(or(not(or(X1,X2)),or(X2,X1)))=true)).
% 0.13/0.39 cnf(i_0_12, plain, (ifeq(X1,X1,X2,X3)=X2)).
% 0.13/0.39 cnf(i_0_19, plain, (ifeq(axiom(X1),true,theorem(X1),true)=true)).
% 0.13/0.39 cnf(i_0_22, negated_conjecture, (theorem(not(not(or(not(p),not(not(p))))))!=true)).
% 0.13/0.39 cnf(i_0_16, plain, (axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3))))=true)).
% 0.13/0.39 cnf(i_0_17, plain, (axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2))))=true)).
% 0.13/0.39 cnf(i_0_20, plain, (ifeq(theorem(or(not(X1),X2)),true,ifeq(theorem(X1),true,theorem(X2),true),true)=true)).
% 0.13/0.39 cnf(i_0_24, plain, (X4=X4)).
% 0.13/0.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.13/0.39 # Begin printing tableau
% 0.13/0.39 # Found 7 steps
% 0.13/0.39 cnf(i_0_14, plain, (axiom(or(not(X20),or(X19,X20)))=true), inference(start_rule)).
% 0.13/0.39 cnf(i_0_33, plain, (axiom(or(not(X20),or(X19,X20)))=true), inference(extension_rule, [i_0_32])).
% 0.13/0.39 cnf(i_0_62, plain, (theorem(axiom(or(not(X20),or(X19,X20))))=theorem(true)), inference(extension_rule, [i_0_28])).
% 0.13/0.39 cnf(i_0_150, plain, (axiom(or(not(X1),or(X2,X1)))!=true), inference(closure_rule, [i_0_14])).
% 0.13/0.39 cnf(i_0_151, plain, (axiom(or(not(X1),or(X2,X1)))!=true), inference(closure_rule, [i_0_14])).
% 0.13/0.39 cnf(i_0_152, plain, (axiom(or(not(X1),or(X2,X1)))!=true), inference(closure_rule, [i_0_14])).
% 0.13/0.39 cnf(i_0_148, plain, (ifeq(theorem(axiom(or(not(X20),or(X19,X20)))),axiom(or(not(X1),or(X2,X1))),axiom(or(not(X1),or(X2,X1))),axiom(or(not(X1),or(X2,X1))))=ifeq(theorem(true),true,true,true)), inference(etableau_closure_rule, [i_0_148, ...])).
% 0.13/0.39 # End printing tableau
% 0.13/0.39 # SZS output end
% 0.13/0.39 # Branches closed with saturation will be marked with an "s"
% 0.13/0.39 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39 # Begin clausification derivation
% 0.13/0.39
% 0.13/0.39 # End clausification derivation
% 0.13/0.39 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.39 cnf(i_0_14, plain, (axiom(or(not(X1),or(X2,X1)))=true)).
% 0.13/0.39 cnf(i_0_13, plain, (axiom(or(not(or(X1,X1)),X1))=true)).
% 0.13/0.39 cnf(i_0_15, plain, (axiom(or(not(or(X1,X2)),or(X2,X1)))=true)).
% 0.13/0.39 cnf(i_0_12, plain, (ifeq(X1,X1,X2,X3)=X2)).
% 0.13/0.39 cnf(i_0_19, plain, (ifeq(axiom(X1),true,theorem(X1),true)=true)).
% 0.13/0.39 cnf(i_0_22, negated_conjecture, (theorem(not(not(or(not(p),not(not(p))))))!=true)).
% 0.13/0.39 cnf(i_0_16, plain, (axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3))))=true)).
% 0.13/0.39 cnf(i_0_17, plain, (axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2))))=true)).
% 0.13/0.39 cnf(i_0_20, plain, (ifeq(theorem(or(not(X1),X2)),true,ifeq(theorem(X1),true,theorem(X2),true),true)=true)).
% 0.13/0.39 cnf(i_0_24, plain, (X4=X4)).
% 0.13/0.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.13/0.39 # Begin printing tableau
% 0.13/0.39 # Found 6 steps
% 0.13/0.39 cnf(i_0_14, plain, (axiom(or(not(X10),or(X9,X10)))=true), inference(start_rule)).
% 0.13/0.39 cnf(i_0_33, plain, (axiom(or(not(X10),or(X9,X10)))=true), inference(extension_rule, [i_0_29])).
% 0.13/0.39 cnf(i_0_56, plain, (axiom(or(not(X1),or(or(true,true),X1)))!=true), inference(closure_rule, [i_0_14])).
% 0.13/0.39 cnf(i_0_55, plain, (or(axiom(or(not(X1),or(or(true,true),X1))),axiom(or(not(X10),or(X9,X10))))=or(true,true)), inference(extension_rule, [i_0_27])).
% 0.13/0.39 cnf(i_0_70, plain, (or(true,true)!=ifeq(X1,X1,or(true,true),X3)), inference(closure_rule, [i_0_12])).
% 0.13/0.39 cnf(i_0_68, plain, (or(axiom(or(not(X1),or(or(true,true),X1))),axiom(or(not(X10),or(X9,X10))))=ifeq(X1,X1,or(true,true),X3)), inference(etableau_closure_rule, [i_0_68, ...])).
% 0.13/0.39 # End printing tableau
% 0.13/0.39 # SZS output end
% 0.13/0.39 # Branches closed with saturation will be marked with an "s"
% 0.13/0.39 # There were 1 total branch saturation attempts.
% 0.13/0.39 # There were 0 of these attempts blocked.
% 0.13/0.39 # There were 0 deferred branch saturation attempts.
% 0.13/0.39 # There were 0 free duplicated saturations.
% 0.13/0.39 # There were 1 total successful branch saturations.
% 0.13/0.39 # There were 0 successful branch saturations in interreduction.
% 0.13/0.39 # There were 0 successful branch saturations on the branch.
% 0.13/0.39 # There were 1 successful branch saturations after the branch.
% 0.13/0.39 # There were 1 total branch saturation attempts.
% 0.13/0.39 # There were 0 of these attempts blocked.
% 0.13/0.39 # There were 0 deferred branch saturation attempts.
% 0.13/0.39 # There were 0 free duplicated saturations.
% 0.13/0.39 # There were 1 total successful branch saturations.
% 0.13/0.39 # There were 0 successful branch saturations in interreduction.
% 0.13/0.39 # There were 0 successful branch saturations on the branch.
% 0.13/0.39 # There were 1 successful branch saturations after the branch.
% 0.13/0.39 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39 # Begin clausification derivation
% 0.13/0.39
% 0.13/0.39 # End clausification derivation
% 0.13/0.39 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.39 cnf(i_0_14, plain, (axiom(or(not(X1),or(X2,X1)))=true)).
% 0.13/0.39 cnf(i_0_13, plain, (axiom(or(not(or(X1,X1)),X1))=true)).
% 0.13/0.39 cnf(i_0_15, plain, (axiom(or(not(or(X1,X2)),or(X2,X1)))=true)).
% 0.13/0.39 cnf(i_0_12, plain, (ifeq(X1,X1,X2,X3)=X2)).
% 0.13/0.39 cnf(i_0_19, plain, (ifeq(axiom(X1),true,theorem(X1),true)=true)).
% 0.13/0.39 cnf(i_0_22, negated_conjecture, (theorem(not(not(or(not(p),not(not(p))))))!=true)).
% 0.13/0.39 cnf(i_0_16, plain, (axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3))))=true)).
% 0.13/0.39 cnf(i_0_17, plain, (axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2))))=true)).
% 0.13/0.39 cnf(i_0_20, plain, (ifeq(theorem(or(not(X1),X2)),true,ifeq(theorem(X1),true,theorem(X2),true),true)=true)).
% 0.13/0.39 cnf(i_0_24, plain, (X4=X4)).
% 0.13/0.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.13/0.39 # Begin printing tableau
% 0.13/0.39 # Found 6 steps
% 0.13/0.39 cnf(i_0_14, plain, (axiom(or(not(X8),or(X7,X8)))=true), inference(start_rule)).
% 0.13/0.39 cnf(i_0_33, plain, (axiom(or(not(X8),or(X7,X8)))=true), inference(extension_rule, [i_0_29])).
% 0.13/0.39 cnf(i_0_57, plain, (axiom(or(not(X1),or(or(true,true),X1)))!=true), inference(closure_rule, [i_0_14])).
% 0.13/0.39 cnf(i_0_55, plain, (or(axiom(or(not(X8),or(X7,X8))),axiom(or(not(X1),or(or(true,true),X1))))=or(true,true)), inference(extension_rule, [i_0_27])).
% 0.13/0.39 cnf(i_0_70, plain, (or(true,true)!=ifeq(X1,X1,or(true,true),X3)), inference(closure_rule, [i_0_12])).
% 0.13/0.39 cnf(i_0_68, plain, (or(axiom(or(not(X8),or(X7,X8))),axiom(or(not(X1),or(or(true,true),X1))))=ifeq(X1,X1,or(true,true),X3)), inference(etableau_closure_rule, [i_0_68, ...])).
% 0.13/0.39 # End printing tableau
% 0.13/0.39 # SZS output end
% 0.13/0.39 # Branches closed with saturation will be marked with an "s"
% 0.13/0.39 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39 # Begin clausification derivation
% 0.13/0.39
% 0.13/0.39 # End clausification derivation
% 0.13/0.39 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.39 cnf(i_0_14, plain, (axiom(or(not(X1),or(X2,X1)))=true)).
% 0.13/0.39 cnf(i_0_13, plain, (axiom(or(not(or(X1,X1)),X1))=true)).
% 0.13/0.39 cnf(i_0_15, plain, (axiom(or(not(or(X1,X2)),or(X2,X1)))=true)).
% 0.13/0.39 cnf(i_0_12, plain, (ifeq(X1,X1,X2,X3)=X2)).
% 0.13/0.39 cnf(i_0_19, plain, (ifeq(axiom(X1),true,theorem(X1),true)=true)).
% 0.13/0.39 cnf(i_0_22, negated_conjecture, (theorem(not(not(or(not(p),not(not(p))))))!=true)).
% 0.13/0.39 cnf(i_0_16, plain, (axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3))))=true)).
% 0.13/0.39 cnf(i_0_17, plain, (axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2))))=true)).
% 0.13/0.39 cnf(i_0_20, plain, (ifeq(theorem(or(not(X1),X2)),true,ifeq(theorem(X1),true,theorem(X2),true),true)=true)).
% 0.13/0.39 cnf(i_0_24, plain, (X4=X4)).
% 0.13/0.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.13/0.39 # Begin printing tableau
% 0.13/0.39 # Found 7 steps
% 0.13/0.39 cnf(i_0_14, plain, (axiom(or(not(X20),or(X19,X20)))=true), inference(start_rule)).
% 0.13/0.39 cnf(i_0_33, plain, (axiom(or(not(X20),or(X19,X20)))=true), inference(extension_rule, [i_0_31])).
% 0.13/0.39 cnf(i_0_60, plain, (not(axiom(or(not(X20),or(X19,X20))))=not(true)), inference(extension_rule, [i_0_28])).
% 0.13/0.39 cnf(i_0_148, plain, (axiom(or(not(X1),or(X2,X1)))!=true), inference(closure_rule, [i_0_14])).
% 0.13/0.39 cnf(i_0_149, plain, (axiom(or(not(X1),or(X2,X1)))!=true), inference(closure_rule, [i_0_14])).
% 0.13/0.39 cnf(i_0_150, plain, (axiom(or(not(X1),or(X2,X1)))!=true), inference(closure_rule, [i_0_14])).
% 0.13/0.39 cnf(i_0_146, plain, (ifeq(not(axiom(or(not(X20),or(X19,X20)))),axiom(or(not(X1),or(X2,X1))),axiom(or(not(X1),or(X2,X1))),axiom(or(not(X1),or(X2,X1))))=ifeq(not(true),true,true,true)), inference(etableau_closure_rule, [i_0_146, ...])).
% 0.13/0.39 # End printing tableau
% 0.13/0.39 # SZS output end
% 0.13/0.39 # Branches closed with saturation will be marked with an "s"
% 0.13/0.39 # There were 1 total branch saturation attempts.
% 0.13/0.39 # There were 0 of these attempts blocked.
% 0.13/0.39 # There were 0 deferred branch saturation attempts.
% 0.13/0.39 # There were 0 free duplicated saturations.
% 0.13/0.39 # There were 1 total successful branch saturations.
% 0.13/0.39 # There were 0 successful branch saturations in interreduction.
% 0.13/0.39 # There were 0 successful branch saturations on the branch.
% 0.13/0.39 # There were 1 successful branch saturations after the branch.
% 0.13/0.39 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39 # Begin clausification derivation
% 0.13/0.39
% 0.13/0.39 # End clausification derivation
% 0.13/0.39 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.39 cnf(i_0_14, plain, (axiom(or(not(X1),or(X2,X1)))=true)).
% 0.13/0.39 cnf(i_0_13, plain, (axiom(or(not(or(X1,X1)),X1))=true)).
% 0.13/0.39 cnf(i_0_15, plain, (axiom(or(not(or(X1,X2)),or(X2,X1)))=true)).
% 0.13/0.39 cnf(i_0_12, plain, (ifeq(X1,X1,X2,X3)=X2)).
% 0.13/0.39 cnf(i_0_19, plain, (ifeq(axiom(X1),true,theorem(X1),true)=true)).
% 0.13/0.39 cnf(i_0_22, negated_conjecture, (theorem(not(not(or(not(p),not(not(p))))))!=true)).
% 0.13/0.39 cnf(i_0_16, plain, (axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3))))=true)).
% 0.13/0.39 cnf(i_0_17, plain, (axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2))))=true)).
% 0.13/0.39 cnf(i_0_20, plain, (ifeq(theorem(or(not(X1),X2)),true,ifeq(theorem(X1),true,theorem(X2),true),true)=true)).
% 0.13/0.39 cnf(i_0_24, plain, (X4=X4)).
% 0.13/0.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.13/0.39 # Begin printing tableau
% 0.13/0.39 # Found 8 steps
% 0.13/0.39 cnf(i_0_14, plain, (axiom(or(not(X26),or(X25,X26)))=true), inference(start_rule)).
% 0.13/0.39 cnf(i_0_33, plain, (axiom(or(not(X26),or(X25,X26)))=true), inference(extension_rule, [i_0_28])).
% 0.13/0.39 cnf(i_0_51, plain, (axiom(or(not(true),or(true,true)))!=true), inference(closure_rule, [i_0_14])).
% 0.13/0.39 cnf(i_0_52, plain, (axiom(or(not(true),or(true,true)))!=true), inference(closure_rule, [i_0_14])).
% 0.13/0.39 cnf(i_0_53, plain, (axiom(or(not(true),or(true,true)))!=true), inference(closure_rule, [i_0_14])).
% 0.13/0.39 cnf(i_0_50, plain, (ifeq(axiom(or(not(true),or(true,true))),axiom(or(not(true),or(true,true))),axiom(or(not(true),or(true,true))),axiom(or(not(X26),or(X25,X26))))=ifeq(true,true,true,true)), inference(extension_rule, [i_0_27])).
% 0.13/0.39 cnf(i_0_70, plain, (ifeq(true,true,true,true)!=true), inference(closure_rule, [i_0_12])).
% 0.13/0.39 cnf(i_0_68, plain, (ifeq(axiom(or(not(true),or(true,true))),axiom(or(not(true),or(true,true))),axiom(or(not(true),or(true,true))),axiom(or(not(X26),or(X25,X26))))=true), inference(etableau_closure_rule, [i_0_68, ...])).
% 0.13/0.39 # End printing tableau
% 0.13/0.39 # SZS output end
% 0.13/0.39 # Branches closed with saturation will be marked with an "s"
% 0.13/0.39 # There were 1 total branch saturation attempts.
% 0.13/0.39 # There were 0 of these attempts blocked.
% 0.13/0.39 # There were 0 deferred branch saturation attempts.
% 0.13/0.39 # There were 0 free duplicated saturations.
% 0.13/0.39 # There were 1 total successful branch saturations.
% 0.13/0.39 # There were 0 successful branch saturations in interreduction.
% 0.13/0.39 # There were 0 successful branch saturations on the branch.
% 0.13/0.39 # There were 1 successful branch saturations after the branch.
% 0.13/0.39 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39 # Begin clausification derivation
% 0.13/0.39
% 0.13/0.39 # End clausification derivation
% 0.13/0.39 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.39 cnf(i_0_14, plain, (axiom(or(not(X1),or(X2,X1)))=true)).
% 0.13/0.39 cnf(i_0_13, plain, (axiom(or(not(or(X1,X1)),X1))=true)).
% 0.13/0.39 cnf(i_0_15, plain, (axiom(or(not(or(X1,X2)),or(X2,X1)))=true)).
% 0.13/0.39 cnf(i_0_12, plain, (ifeq(X1,X1,X2,X3)=X2)).
% 0.13/0.39 cnf(i_0_19, plain, (ifeq(axiom(X1),true,theorem(X1),true)=true)).
% 0.13/0.39 cnf(i_0_22, negated_conjecture, (theorem(not(not(or(not(p),not(not(p))))))!=true)).
% 0.13/0.39 cnf(i_0_16, plain, (axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3))))=true)).
% 0.13/0.39 cnf(i_0_17, plain, (axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2))))=true)).
% 0.13/0.39 cnf(i_0_20, plain, (ifeq(theorem(or(not(X1),X2)),true,ifeq(theorem(X1),true,theorem(X2),true),true)=true)).
% 0.13/0.39 cnf(i_0_24, plain, (X4=X4)).
% 0.13/0.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.13/0.39 # Begin printing tableau
% 0.13/0.39 # Found 8 steps
% 0.13/0.39 cnf(i_0_14, plain, (axiom(or(not(X24),or(X23,X24)))=true), inference(start_rule)).
% 0.13/0.39 cnf(i_0_33, plain, (axiom(or(not(X24),or(X23,X24)))=true), inference(extension_rule, [i_0_28])).
% 0.13/0.39 cnf(i_0_51, plain, (axiom(or(not(true),or(true,true)))!=true), inference(closure_rule, [i_0_14])).
% 0.13/0.39 cnf(i_0_52, plain, (axiom(or(not(true),or(true,true)))!=true), inference(closure_rule, [i_0_14])).
% 0.13/0.39 cnf(i_0_54, plain, (axiom(or(not(true),or(true,true)))!=true), inference(closure_rule, [i_0_14])).
% 0.13/0.39 cnf(i_0_50, plain, (ifeq(axiom(or(not(true),or(true,true))),axiom(or(not(true),or(true,true))),axiom(or(not(X24),or(X23,X24))),axiom(or(not(true),or(true,true))))=ifeq(true,true,true,true)), inference(extension_rule, [i_0_27])).
% 0.13/0.39 cnf(i_0_70, plain, (ifeq(true,true,true,true)!=true), inference(closure_rule, [i_0_12])).
% 0.13/0.39 cnf(i_0_68, plain, (ifeq(axiom(or(not(true),or(true,true))),axiom(or(not(true),or(true,true))),axiom(or(not(X24),or(X23,X24))),axiom(or(not(true),or(true,true))))=true), inference(etableau_closure_rule, [i_0_68, ...])).
% 0.13/0.39 # End printing tableau
% 0.13/0.39 # SZS output end
% 0.13/0.39 # Branches closed with saturation will be marked with an "s"
% 0.13/0.39 # Child (23832) has found a proof.
% 0.13/0.39
% 0.13/0.39 # Proof search is over...
% 0.13/0.39 # Freeing feature tree
%------------------------------------------------------------------------------